Chapters
Chapter 2: Polynomials
Chapter 3: Pair of Linear Equations in Two Variables
Chapter 4: Quadratic Equations
Chapter 5: Arithmetic Progressions
Chapter 6: Triangles
Chapter 7: Coordinate Geometry
Chapter 8: Introduction to Trigonometry
Chapter 9: Some Applications of Trigonometry
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Areas Related to Circles
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics
Chapter 15: Probability
Chapter 2: Polynomials
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.1 [Page 28]
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in the following.
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x)
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.2 [Page 33]
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
x2 – 2x – 8
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
4s2 – 4s + 1
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
6x2 – 3 – 7x
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
4u2 + 8u
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
t2 – 15
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
3x2 – x – 4
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`1/4 , -1`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
`sqrt2 , 1/3`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`0, sqrt5`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
1, 1
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
`-1/4 ,1/4`
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively
4, 1
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.3 [Page 36]
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 – 2
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following
p(x) = x4 – 5x + 6, g(x) = 2 – x2
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
t2 – 3, 2t4 + 3t3 – 2t2 – 9t – 12
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x2 + 3x + 1, 3x4 + 5x3 – 7x2 + 2x + 2
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are `sqrt(5/3)` and - `sqrt(5/3)`
On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg p(x) = deg q(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg q(x) = deg r(x)
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg r(x) = 0
NCERT solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.4 [Pages 36 - 37]
Verify that the numbers given along side of the cubic polynomials are their zeroes. Also verify the relationship between the zeroes and the coefficients.
`2x^3 + x^2 – 5x + 2 ; 1/2, 1, – 2`
Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case
x3 – 4x2 + 5x – 2; 2, 1, 1
Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, − 7, − 14 respectively
If the zeroes of the polynomial x3 – 3x2 + x + 1 are a – b, a, a + b, find a and b
If two zeroes of the polynomial x4 – 6x3 – 26x2 + 138x – 35 are 2 ± `sqrt3` , find other zeroes
If the polynomial x4 – 6x3 + 16x2 – 25x + 10 is divided by another polynomial x2 – 2x + k, the remainder comes out to be x + a, find k and a.
Chapter 2: Polynomials
NCERT solutions for Class 10 Maths chapter 2 - Polynomials
NCERT solutions for Class 10 Maths chapter 2 (Polynomials) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 10 Maths solutions in a manner that help students grasp basic concepts better and faster.
Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.
Concepts covered in Class 10 Maths chapter 2 Polynomials are Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial, Division Algorithm for Polynomials, Concept of Polynomials, Concept of Polynomials, Geometrical Meaning of the Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Polynomial, Division Algorithm for Polynomials, Concept of Polynomials, Concept of Polynomials.
Using NCERT Class 10 solutions Polynomials exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 10 prefer NCERT Textbook Solutions to score more in exam.
Get the free view of chapter 2 Polynomials Class 10 extra questions for Class 10 Maths and can use Shaalaa.com to keep it handy for your exam preparation
